Prime p₀= 930814920816502529 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 88 2 118 2 46 2 28 2 10 2 (?)
a_n: 0 2 42 44 132 134 252 254 300 302 330 332 342 344
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 344
Found by: ginga
db: batch=76, k=14, 40 88 118 46 28 10

SPT(16)	930814372138156063	0 60 78 108 126 174 258 276 298 316 400 448 466 496 514 574	-548678346466
SPT(16)	930814426691457761	0 26 60 68 138 146 200 230 348 378 432 440 510 518 552 578	-494125044768
SPT(16)	930814490132429011	0 28 40 72 106 120 148 160 168 180 208 222 256 288 300 328	-430684073518
STPT(10)	930814536316535291	0 2 36 38 78 80 120 122 156 158	-384499967238
STPT(10)	930814652904518267	0 2 30 32 42 44 54 56 84 86	-267911984262
STPT(10)	930814688501034047	0 2 42 44 72 74 102 104 144 146	-232315468482
STPT(10)	930814992107217317	0 2 90 92 102 104 114 116 204 206	71290714788
TPT(14)	930815332056617309	0 2 30 32 42 44 150 152 168 170 210 212 222 224	411240114780
STPT(10)	930815458806181979	0 2 30 32 60 62 90 92 120 122	537989679450
STPT(10)	930815580542415257	0 2 30 32 42 44 54 56 84 86	659725912728
TPT(14)	930816297140813507	0 2 54 56 72 74 90 92 144 146 180 182 240 242	1376324310978